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Finding the Fourth Proportional to 72,669.16, 109,003.79 and 20,078.70

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Solution

The fourth proportional to 72,669.16, 109,003.79 and 20,078.70 is: 30,118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,669.16 : 109,003.79 = 20,078.70 : x
  2. Step 2: Convert to fraction form
    72,669.16/109,003.79 = 20,078.70/x
  3. Step 3: Cross multiply
    72,669.16x = 109,003.79 × 20,078.70
  4. Step 4: Simplify right side
    72,669.16x = 2,188,654,039.71
  5. Step 5: Solve for x
    x = 2,188,654,039.71/72,669.16
  6. Step 6: Final answer
    x = 30,118.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.